Find the open intervals on which the function is concave upward or concave downward, and find the location of any points of inflection. f(x) = x² +8x³-30x² +24x-4 Select the correct choice below and fill in any answer boxes within your choice. (Type your answer in interval notation.) OA. The function concave upward on and concave downward on (Use a comma to separate answers as needed.) OB. The function is concave upward on OC. The function is concave downward on Select the correct choice below and fill in any answer boxes within your choice. OA. The point(s) of inflection is/are (Type an ordered pair. Use a comma to separate answers as needed.) OB. There is no point of inflection.
Find the open intervals on which the function is concave upward or concave downward, and find the location of any points of inflection. f(x) = x² +8x³-30x² +24x-4 Select the correct choice below and fill in any answer boxes within your choice. (Type your answer in interval notation.) OA. The function concave upward on and concave downward on (Use a comma to separate answers as needed.) OB. The function is concave upward on OC. The function is concave downward on Select the correct choice below and fill in any answer boxes within your choice. OA. The point(s) of inflection is/are (Type an ordered pair. Use a comma to separate answers as needed.) OB. There is no point of inflection.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Find the open intervals on which the function is concave upward or concave downward, and find the location of any points of inflection.
f(x)=x² +8x³-30x² +24x-4
Select the correct choice below and fill in any answer boxes within your choice.
(Type your answer in interval notation.)
OA. The function concave upward on
and concave downward on
(Use a comma to separate answers as needed.)
OB. The function is concave upward on
OC. The function is concave downward on
Select the correct choice below and fill in any answer boxes within your choice.
OA. The point(s) of inflection is/are
(Type an ordered pair. Use a comma to separate answers as needed.)
OB. There is no point of inflection.
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